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mirror of https://github.com/pfloos/quack synced 2024-12-22 12:23:50 +01:00

working in CCGW

This commit is contained in:
Pierre-Francois Loos 2024-09-16 15:59:16 +02:00
parent 37d312c789
commit 4d66fbc20d
4 changed files with 446 additions and 53 deletions

353
src/GW/CCG0W0.f90 Normal file
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@ -0,0 +1,353 @@
subroutine CCG0W0(maxSCF,thresh,nBas,nOrb,nC,nO,nV,nR,ERI,ENuc,ERHF,eHF)
! CC-based GW module
implicit none
include 'parameters.h'
! Input variables
integer,intent(in) :: maxSCF
double precision,intent(in) :: thresh
integer,intent(in) :: nBas
integer,intent(in) :: nOrb
integer,intent(in) :: nC
integer,intent(in) :: nO
integer,intent(in) :: nV
integer,intent(in) :: nR
double precision,intent(in) :: ENuc
double precision,intent(in) :: ERHF
double precision,intent(in) :: eHF(nOrb)
double precision,intent(in) :: ERI(nOrb,nOrb,nOrb,nOrb)
! Local variables
integer :: p,q
integer :: i,j,k,l
integer :: a,b,c,d
integer :: nSCF
double precision :: Conv
double precision,allocatable :: OVVO(:,:,:,:)
double precision,allocatable :: VOOV(:,:,:,:)
double precision,allocatable :: delta_2h1p(:,:,:,:)
double precision,allocatable :: delta_2p1h(:,:,:,:)
double precision,allocatable :: V_2h1p(:,:,:,:)
double precision,allocatable :: V_2p1h(:,:,:,:)
double precision,allocatable :: r_2h1p(:,:,:,:)
double precision,allocatable :: r_2p1h(:,:,:,:)
double precision,allocatable :: t_2h1p(:,:,:,:)
double precision,allocatable :: t_2p1h(:,:,:,:)
double precision,allocatable :: x_2h1p(:,:)
double precision,allocatable :: x_2p1h(:,:)
double precision,allocatable :: eGW(:)
double precision,allocatable :: SigGW(:,:)
double precision,allocatable :: cGW(:,:)
double precision,allocatable :: Z(:)
integer,allocatable :: order(:)
! Hello world
write(*,*)
write(*,*)'*****************************'
write(*,*)'* CC-based G0W0 Calculation *'
write(*,*)'*****************************'
write(*,*)
! Create integral batches
allocate(OVVO(nO,nV,nV,nO),VOOV(nV,nO,nO,nV))
OVVO(:,:,:,:) = ERI( 1:nO ,nO+1:nOrb,nO+1:nOrb, 1:nO )
VOOV(:,:,:,:) = ERI(nO+1:nOrb , 1:nO , 1:nO ,nO+1:nOrb)
! Form energy denominator and guess amplitudes
allocate(delta_2h1p(nO,nO,nV,nOrb),delta_2p1h(nO,nV,nV,nOrb))
allocate(V_2h1p(nOrb,nO,nO,nV),V_2p1h(nOrb,nO,nV,nV))
allocate(t_2h1p(nO,nO,nV,nOrb),t_2p1h(nO,nV,nV,nOrb))
allocate(x_2h1p(nOrb,nOrb),x_2p1h(nOrb,nOrb))
do k=nC+1,nO
do l=nC+1,nO
do c=1,nV-nR
do p=nC+1,nOrb-nR
V_2h1p(p,k,l,c) = sqrt(2d0)*ERI(p,nO+c,k,l)
end do
end do
end do
end do
do k=nC+1,nO
do c=1,nV-nR
do d=1,nV-nR
do p=nC+1,nOrb-nR
V_2p1h(p,k,c,d) = sqrt(2d0)*ERI(p,k,nO+d,nO+c)
end do
end do
end do
end do
! Initialization
allocate(r_2h1p(nO,nO,nV,nOrb),r_2p1h(nO,nV,nV,nOrb))
allocate(eGW(nOrb),SigGW(nOrb,nOrb),cGW(nOrb,nOrb),Z(nOrb))
allocate(order(nOrb))
Conv = 1d0
nSCF = 0
eGW(:) = eHF(:)
t_2h1p(:,:,:,:) = 0d0
t_2p1h(:,:,:,:) = 0d0
!------------------------------------------------------------------------
! Main SCF loop
!------------------------------------------------------------------------
write(*,*)
write(*,*)'----------------------------------------------'
write(*,*)'| CCGW calculation |'
write(*,*)'----------------------------------------------'
write(*,'(1X,A1,1X,A3,1X,A1,1X,A10,1X,A1,1X,A10,1X,A1,1X,A10,1X,A1,1X)') &
'|','#','|','HOMO','|','LUMO','|','Conv','|'
write(*,*)'----------------------------------------------'
do while(Conv > thresh .and. nSCF < maxSCF)
! Increment
nSCF = nSCF + 1
! Compute energy differences
do i=nC+1,nO
do j=nC+1,nO
do a=1,nV-nR
do p=nC+1,nOrb-nR
delta_2h1p(i,j,a,p) = eGW(i) + eGW(j) - eGW(nO+a) - eHF(p)
end do
end do
end do
end do
do i=nC+1,nO
do a=1,nV-nR
do b=1,nV-nR
do p=nC+1,nOrb-nR
delta_2p1h(i,a,b,p) = eGW(nO+a) + eGW(nO+b) - eGW(i) - eHF(p)
end do
end do
end do
end do
! Compute intermediates
x_2h1p(:,:) = 0d0
do p=nC+1,nOrb-nR
do q=nC+1,nOrb-nR
do k=nC+1,nO
do l=nC+1,nO
do c=1,nV-nR
x_2h1p(p,q) = x_2h1p(p,q) + V_2h1p(q,k,l,c)*t_2h1p(k,l,c,p)
end do
end do
end do
end do
end do
x_2p1h(:,:) = 0d0
do p=nC+1,nOrb-nR
do q=nC+1,nOrb-nR
do k=nC+1,nO
do c=1,nV-nR
do d=1,nV-nR
x_2p1h(p,q) = x_2p1h(p,q) + V_2p1h(q,k,c,d)*t_2p1h(k,c,d,p)
end do
end do
end do
end do
end do
! Compute residual for 2h1p sector
do i=nC+1,nO
do j=nC+1,nO
do a=1,nV-nR
do p=nC+1,nOrb-nR
r_2h1p(i,j,a,p) = V_2h1p(p,i,j,a) + delta_2h1p(i,j,a,p)*t_2h1p(i,j,a,p)
do k=nC+1,nO
do c=1,nV-nR
r_2h1p(i,j,a,p) = r_2h1p(i,j,a,p) - 2d0*OVVO(j,c,a,k)*t_2h1p(i,k,c,p)
end do
end do
do q=nC+1,nOrb-nR
r_2h1p(i,j,a,p) = r_2h1p(i,j,a,p) - t_2h1p(i,j,a,q)*x_2h1p(p,q) - t_2h1p(i,j,a,q)*x_2p1h(p,q)
end do
end do
end do
end do
end do
! Compute residual for 2p1h sector
do i=nC+1,nO
do a=1,nV-nR
do b=1,nV-nR
do p=nC+1,nOrb-nR
r_2p1h(i,a,b,p) = V_2p1h(p,i,a,b) + delta_2p1h(i,a,b,p)*t_2p1h(i,a,b,p)
do k=nC+1,nO
do c=1,nV-nR
r_2p1h(i,a,b,p) = r_2p1h(i,a,b,p) + 2d0*VOOV(a,k,i,c)*t_2p1h(k,c,b,p)
end do
end do
do q=nC+1,nOrb-nR
r_2p1h(i,a,b,p) = r_2p1h(i,a,b,p) - t_2p1h(i,a,b,q)*x_2h1p(p,q) - t_2p1h(i,a,b,q)*x_2p1h(p,q)
end do
end do
end do
end do
end do
! Check convergence
Conv = max(maxval(abs(r_2h1p)),maxval(abs(r_2p1h)))
! Update amplitudes
t_2h1p(:,:,:,:) = t_2h1p(:,:,:,:) - r_2h1p(:,:,:,:)/delta_2h1p(:,:,:,:)
t_2p1h(:,:,:,:) = t_2p1h(:,:,:,:) - r_2p1h(:,:,:,:)/delta_2p1h(:,:,:,:)
! Compute self-energy
SigGW(:,:) = 0d0
do p=nC+1,nOrb-nR
SigGW(p,p) = SigGW(p,p) + eHF(p)
do q=nC+1,nOrb-nR
do i=nC+1,nO
do j=nC+1,nO
do a=1,nV-nR
SigGW(p,q) = SigGW(p,q) + V_2h1p(p,i,j,a)*t_2h1p(i,j,a,q)
end do
end do
end do
do i=nC+1,nO
do a=1,nV-nR
do b=1,nV-nR
SigGW(p,q) = SigGW(p,q) + V_2p1h(p,i,a,b)*t_2p1h(i,a,b,q)
end do
end do
end do
end do
end do
! Diagonalize non-Hermitian matrix
call diagonalize_general_matrix(nOrb,SigGW,eGW,cGW)
do p=1,nOrb
order(p) = p
end do
call quick_sort(eGW,order,nOrb)
call set_order(cGW,order,nOrb,nOrb)
! Renormalization factor
Z(:) = 1d0
! Dump results
write(*,'(1X,A1,1X,I3,1X,A1,1X,F10.6,1X,A1,1X,F10.6,1X,A1,1X,F10.6,1X,A1,1X)') &
'|',nSCF,'|',eGW(nO)*HaToeV,'|',eGW(nO+1)*HaToeV,'|',Conv,'|'
end do
write(*,*)'----------------------------------------------'
!------------------------------------------------------------------------
! End of SCF loop
!------------------------------------------------------------------------
! Did it actually converge?
if(nSCF == maxSCF) then
write(*,*)
write(*,*)'!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!'
write(*,*)' Convergence failed '
write(*,*)'!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!'
write(*,*)
stop
end if
write(*,*)'-------------------------------------------------------------------------------'
write(*,*)' CCGW calculation '
write(*,*)'-------------------------------------------------------------------------------'
write(*,'(1X,A1,1X,A3,1X,A1,1X,A15,1X,A1,1X,A15,1X,A1,1X,A15,1X,A1,1X,A15,1X,A1,1X)') &
'|','#','|','e_HF (eV)','|','Sig_c (eV)','|','Z','|','e_QP (eV)','|'
write(*,*)'-------------------------------------------------------------------------------'
do p=1,nOrb
write(*,'(1X,A1,1X,I3,1X,A1,1X,F15.6,1X,A1,1X,F15.6,1X,A1,1X,F15.6,1X,A1,1X,F15.6,1X,A1,1X)') &
'|',p,'|',eHF(p)*HaToeV,'|',(eGW(p)-eHF(p))*HaToeV,'|',Z(p),'|',eGW(p)*HaToeV,'|'
end do
write(*,*)'-------------------------------------------------------------------------------'
end subroutine

View File

@ -1,4 +1,4 @@
subroutine CCGW(maxSCF,thresh,nBas,nC,nO,nV,nR,ERI,ENuc,ERHF,e)
subroutine CCGW(maxSCF,thresh,nBas,nOrb,nC,nO,nV,nR,ERI,ENuc,ERHF,eHF)
! CC-based GW module
@ -11,14 +11,15 @@ subroutine CCGW(maxSCF,thresh,nBas,nC,nO,nV,nR,ERI,ENuc,ERHF,e)
double precision,intent(in) :: thresh
integer,intent(in) :: nBas
integer,intent(in) :: nOrb
integer,intent(in) :: nC
integer,intent(in) :: nO
integer,intent(in) :: nV
integer,intent(in) :: nR
double precision,intent(in) :: ENuc
double precision,intent(in) :: ERHF
double precision,intent(in) :: e(nBas)
double precision,intent(in) :: ERI(nBas,nBas,nBas,nBas)
double precision,intent(in) :: eHF(nOrb)
double precision,intent(in) :: ERI(nOrb,nOrb,nOrb,nOrb)
! Local variables
@ -57,43 +58,43 @@ subroutine CCGW(maxSCF,thresh,nBas,nC,nO,nV,nR,ERI,ENuc,ERHF,e)
! Hello world
write(*,*)
write(*,*)'*****************************'
write(*,*)'| CCGW calculation |'
write(*,*)'*****************************'
write(*,*)'***************************'
write(*,*)'* CC-based GW Calculation *'
write(*,*)'***************************'
write(*,*)
! Create integral batches
allocate(OVVO(nO,nV,nV,nO),VOOV(nV,nO,nO,nV))
OVVO(:,:,:,:) = ERI( 1:nO ,nO+1:nBas,nO+1:nBas, 1:nO )
VOOV(:,:,:,:) = ERI(nO+1:nBas , 1:nO , 1:nO ,nO+1:nBas)
OVVO(:,:,:,:) = ERI( 1:nO ,nO+1:nOrb,nO+1:nOrb, 1:nO )
VOOV(:,:,:,:) = ERI(nO+1:nOrb , 1:nO , 1:nO ,nO+1:nOrb)
! Form energy denominator and guess amplitudes
allocate(delta_2h1p(nO,nO,nV,nBas),delta_2p1h(nO,nV,nV,nBas))
allocate(V_2h1p(nBas,nO,nO,nV),V_2p1h(nBas,nO,nV,nV))
allocate(t_2h1p(nO,nO,nV,nBas),t_2p1h(nO,nV,nV,nBas))
allocate(x_2h1p(nBas,nBas),x_2p1h(nBas,nBas))
allocate(delta_2h1p(nO,nO,nV,nOrb),delta_2p1h(nO,nV,nV,nOrb))
allocate(V_2h1p(nOrb,nO,nO,nV),V_2p1h(nOrb,nO,nV,nV))
allocate(t_2h1p(nO,nO,nV,nOrb),t_2p1h(nO,nV,nV,nOrb))
allocate(x_2h1p(nOrb,nOrb),x_2p1h(nOrb,nOrb))
do i=nC+1,nO
do j=nC+1,nO
do a=1,nV-nR
do p=nC+1,nBas-nR
do k=nC+1,nO
do l=nC+1,nO
do c=1,nV-nR
do p=nC+1,nOrb-nR
V_2h1p(p,i,j,a) = sqrt(2d0)*ERI(p,nO+a,i,j)
V_2h1p(p,k,l,c) = sqrt(2d0)*ERI(p,nO+c,k,l)
end do
end do
end do
end do
do i=nC+1,nO
do a=1,nV-nR
do b=1,nV-nR
do p=nC+1,nBas-nR
do k=nC+1,nO
do c=1,nV-nR
do d=1,nV-nR
do p=nC+1,nOrb-nR
V_2p1h(p,i,a,b) = sqrt(2d0)*ERI(p,i,nO+b,nO+a)
V_2p1h(p,k,c,d) = sqrt(2d0)*ERI(p,k,nO+d,nO+c)
end do
end do
@ -102,13 +103,13 @@ subroutine CCGW(maxSCF,thresh,nBas,nC,nO,nV,nR,ERI,ENuc,ERHF,e)
! Initialization
allocate(r_2h1p(nO,nO,nV,nBas),r_2p1h(nO,nV,nV,nBas))
allocate(eGW(nBas),SigGW(nBas,nBas),cGW(nBas,nBas),Z(nBas))
allocate(order(nBas))
allocate(r_2h1p(nO,nO,nV,nOrb),r_2p1h(nO,nV,nV,nOrb))
allocate(eGW(nOrb),SigGW(nOrb,nOrb),cGW(nOrb,nOrb),Z(nOrb))
allocate(order(nOrb))
Conv = 1d0
nSCF = 0
eGW(:) = e(:)
eGW(:) = eHF(:)
t_2h1p(:,:,:,:) = 0d0
t_2p1h(:,:,:,:) = 0d0
@ -135,9 +136,9 @@ subroutine CCGW(maxSCF,thresh,nBas,nC,nO,nV,nR,ERI,ENuc,ERHF,e)
do i=nC+1,nO
do j=nC+1,nO
do a=1,nV-nR
do p=nC+1,nBas-nR
do p=nC+1,nOrb-nR
delta_2h1p(i,j,a,p) = eGW(i) + eGW(j) - eGW(nO+a) - e(p)
delta_2h1p(i,j,a,p) = eGW(i) + eGW(j) - eGW(nO+a) - eHF(p)
end do
end do
@ -147,9 +148,9 @@ subroutine CCGW(maxSCF,thresh,nBas,nC,nO,nV,nR,ERI,ENuc,ERHF,e)
do i=nC+1,nO
do a=1,nV-nR
do b=1,nV-nR
do p=nC+1,nBas-nR
do p=nC+1,nOrb-nR
delta_2p1h(i,a,b,p) = eGW(nO+a) + eGW(nO+b) - eGW(i) - e(p)
delta_2p1h(i,a,b,p) = eGW(nO+a) + eGW(nO+b) - eGW(i) - eHF(p)
end do
end do
@ -160,8 +161,8 @@ subroutine CCGW(maxSCF,thresh,nBas,nC,nO,nV,nR,ERI,ENuc,ERHF,e)
x_2h1p(:,:) = 0d0
do p=nC+1,nBas-nR
do q=nC+1,nBas-nR
do p=nC+1,nOrb-nR
do q=nC+1,nOrb-nR
do k=nC+1,nO
do l=nC+1,nO
@ -178,8 +179,8 @@ subroutine CCGW(maxSCF,thresh,nBas,nC,nO,nV,nR,ERI,ENuc,ERHF,e)
x_2p1h(:,:) = 0d0
do p=nC+1,nBas-nR
do q=nC+1,nBas-nR
do p=nC+1,nOrb-nR
do q=nC+1,nOrb-nR
do k=nC+1,nO
do c=1,nV-nR
@ -200,7 +201,7 @@ subroutine CCGW(maxSCF,thresh,nBas,nC,nO,nV,nR,ERI,ENuc,ERHF,e)
do j=nC+1,nO
do a=1,nV-nR
do p=nC+1,nBas-nR
do p=nC+1,nOrb-nR
r_2h1p(i,j,a,p) = V_2h1p(p,i,j,a) + delta_2h1p(i,j,a,p)*t_2h1p(i,j,a,p)
@ -212,7 +213,7 @@ subroutine CCGW(maxSCF,thresh,nBas,nC,nO,nV,nR,ERI,ENuc,ERHF,e)
end do
end do
do q=nC+1,nBas-nR
do q=nC+1,nOrb-nR
r_2h1p(i,j,a,p) = r_2h1p(i,j,a,p) - t_2h1p(i,j,a,q)*x_2h1p(p,q) - t_2h1p(i,j,a,q)*x_2p1h(p,q)
@ -230,7 +231,7 @@ subroutine CCGW(maxSCF,thresh,nBas,nC,nO,nV,nR,ERI,ENuc,ERHF,e)
do a=1,nV-nR
do b=1,nV-nR
do p=nC+1,nBas-nR
do p=nC+1,nOrb-nR
r_2p1h(i,a,b,p) = V_2p1h(p,i,a,b) + delta_2p1h(i,a,b,p)*t_2p1h(i,a,b,p)
@ -242,7 +243,7 @@ subroutine CCGW(maxSCF,thresh,nBas,nC,nO,nV,nR,ERI,ENuc,ERHF,e)
end do
end do
do q=nC+1,nBas-nR
do q=nC+1,nOrb-nR
r_2p1h(i,a,b,p) = r_2p1h(i,a,b,p) - t_2p1h(i,a,b,q)*x_2h1p(p,q) - t_2p1h(i,a,b,q)*x_2p1h(p,q)
@ -267,11 +268,11 @@ subroutine CCGW(maxSCF,thresh,nBas,nC,nO,nV,nR,ERI,ENuc,ERHF,e)
SigGW(:,:) = 0d0
do p=nC+1,nBas-nR
do p=nC+1,nOrb-nR
SigGW(p,p) = SigGW(p,p) + e(p)
SigGW(p,p) = SigGW(p,p) + eHF(p)
do q=nC+1,nBas-nR
do q=nC+1,nOrb-nR
do i=nC+1,nO
do j=nC+1,nO
@ -298,14 +299,14 @@ subroutine CCGW(maxSCF,thresh,nBas,nC,nO,nV,nR,ERI,ENuc,ERHF,e)
! Diagonalize non-Hermitian matrix
call diagonalize_general_matrix(nBas,SigGW,eGW,cGW)
call diagonalize_general_matrix(nOrb,SigGW,eGW,cGW)
do p=1,nBas
do p=1,nOrb
order(p) = p
end do
call quick_sort(eGW,order,nBas)
call set_order(cGW,order,nBas,nBas)
call quick_sort(eGW,order,nOrb)
call set_order(cGW,order,nOrb,nOrb)
! Renormalization factor
@ -343,9 +344,9 @@ subroutine CCGW(maxSCF,thresh,nBas,nC,nO,nV,nR,ERI,ENuc,ERHF,e)
'|','#','|','e_HF (eV)','|','Sig_c (eV)','|','Z','|','e_QP (eV)','|'
write(*,*)'-------------------------------------------------------------------------------'
do p=1,nBas
do p=1,nOrb
write(*,'(1X,A1,1X,I3,1X,A1,1X,F15.6,1X,A1,1X,F15.6,1X,A1,1X,F15.6,1X,A1,1X,F15.6,1X,A1,1X)') &
'|',p,'|',e(p)*HaToeV,'|',(eGW(p)-e(p))*HaToeV,'|',Z(p),'|',eGW(p)*HaToeV,'|'
'|',p,'|',eHF(p)*HaToeV,'|',(eGW(p)-eHF(p))*HaToeV,'|',Z(p),'|',eGW(p)*HaToeV,'|'
end do
write(*,*)'-------------------------------------------------------------------------------'

View File

@ -68,8 +68,10 @@ subroutine RGW(dotest,doG0W0,doevGW,doqsGW,doufG0W0,doufGW,maxSCF,thresh,max_dii
double precision :: start_GW ,end_GW ,t_GW
logical :: doCCGW
!------------------------------------------------------------------------
! Perform G0W0 calculatiom
! Perform G0W0 calculation
!------------------------------------------------------------------------
if(doG0W0) then
@ -122,7 +124,7 @@ subroutine RGW(dotest,doG0W0,doevGW,doqsGW,doufG0W0,doufGW,maxSCF,thresh,max_dii
end if
!------------------------------------------------------------------------
! Perform ufG0W0 calculatiom
! Perform ufG0W0 calculation
!------------------------------------------------------------------------
if(doufG0W0) then
@ -139,7 +141,7 @@ subroutine RGW(dotest,doG0W0,doevGW,doqsGW,doufG0W0,doufGW,maxSCF,thresh,max_dii
end if
!------------------------------------------------------------------------
! Perform ufGW calculatiom
! Perform ufGW calculation
!------------------------------------------------------------------------
if(doufGW) then
@ -155,4 +157,41 @@ subroutine RGW(dotest,doG0W0,doevGW,doqsGW,doufG0W0,doufGW,maxSCF,thresh,max_dii
end if
!------------------------------------------------------------------------
! Perform CC-based G0W0 calculation
!------------------------------------------------------------------------
doCCGW = .false.
if(doCCGW) then
call wall_time(start_GW)
call CCG0W0(maxSCF,thresh,nBas,nOrb,nC,nO,nV,nR,ERI_MO,ENuc,ERHF,eHF)
call wall_time(end_GW)
t_GW = end_GW - start_GW
write(*,'(A65,1X,F9.3,A8)') 'Total wall time for ufGW = ',t_GW,' seconds'
write(*,*)
end if
!------------------------------------------------------------------------
! Perform CC-based GW calculation
!------------------------------------------------------------------------
doCCGW = .false.
if(doCCGW) then
call wall_time(start_GW)
call CCGW(maxSCF,thresh,nBas,nOrb,nC,nO,nV,nR,ERI_MO,ENuc,ERHF,eHF)
call wall_time(end_GW)
t_GW = end_GW - start_GW
write(*,'(A65,1X,F9.3,A8)') 'Total wall time for ufGW = ',t_GW,' seconds'
write(*,*)
end if
end subroutine

View File

@ -47,7 +47,7 @@ subroutine ufRGW(dotest,TDA_W,nBas,nOrb,nC,nO,nV,nR,nS,ENuc,ERHF,ERI,eHF)
double precision,allocatable :: XmY(:,:)
double precision,allocatable :: rho(:,:,:)
logical :: verbose = .true.
logical :: verbose = .false.
double precision,parameter :: cutoff1 = 0.01d0
double precision,parameter :: cutoff2 = 0.01d0
double precision :: eF